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Finding the Third Proportional to 494,110 and 1,078,578

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Solution

The third proportional to 494,110 and 1,078,578 is: 2,354,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,110 : 1,078,578 = 1,078,578 : x
  2. Step 2: Convert to fraction form
    494,110/1,078,578 = 1,078,578/x
  3. Step 3: Cross multiply
    494,110x = 1,078,578 × 1,078,578
  4. Step 4: Simplify right side
    494,110x = 1,163,330,502,084
  5. Step 5: Solve for x
    x = 1,163,330,502,084/494,110
  6. Step 6: Final answer
    x = 2,354,395.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.